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Finding the Fourth Proportional to 9,663.38, 14,500.54 and 4,116.15

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Solution

The fourth proportional to 9,663.38, 14,500.54 and 4,116.15 is: 6,176.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.38 : 14,500.54 = 4,116.15 : x
  2. Step 2: Convert to fraction form
    9,663.38/14,500.54 = 4,116.15/x
  3. Step 3: Cross multiply
    9,663.38x = 14,500.54 × 4,116.15
  4. Step 4: Simplify right side
    9,663.38x = 59,686,397.72
  5. Step 5: Solve for x
    x = 59,686,397.72/9,663.38
  6. Step 6: Final answer
    x = 6,176.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.